B.E. (Chemical Engineering) Chemical Engineering Mathematics Syllabus - Mumbai University 2026

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The University has moved this degree onto NEP 2020 one year at a time. The first, second and third years are on NEP 2020; the final year is still on the REV-2019 'C' Scheme, which is what the University sets for it this year.

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Syllabus for Chemical Engineering Mathematics

Semester 3 · Second Year BE Chemical

Module 1: Probability and Statistics

Discrete and Continuous random variables, Probability mass function, Correlation, Karl Pearson’s Coefficient of Correlation Lines of regression, fitting of first-degree curves (use Chemical engineering examples.) Self-Learning Topics: Conditional probability, Baye’s Theorem, Spearman’s Rank Correlation Coefficient

Module 2: Matrices

Eigen values and Eigen vectors, Properties of Eigen values and Eigen vectors. (No theorems/ proof) Similarity of matrices, Diagonalization of matrices. Self -Learning Topics: Applications of Eigen values and eigen vectors in Chemical Engineering

Module 3: Numerical Methods for Ordinary Differential Equations (ODE):

Applying to chemical engineering problems related to momentum transfer, heat transfer, mass transfer and reaction engineering, Eulers method, Runge- Kutta second Order method Self -Learning Topics: Applications of Runge-Kutta Fourth order Method and Adam Bashford Predictor - Corrector Method to chemical engineering problems

Module 4: Finite Difference Equations

Forward and Backward difference operators ∆ , ∇, Shift operator E, Relation between E, ∆ , ∇, Solution of Linear Difference Equations (up to order two) using Complimentary function & Particular Integral for F(n) = 𝑐𝑜𝑠𝑘𝑛, 𝑠𝑖𝑛𝑘𝑛, 𝑎𝑛(𝑎 𝑖𝑠 𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡), 𝑝𝑜𝑙𝑦𝑛𝑜𝑚𝑖𝑎𝑙 𝑖𝑛 𝑛 Application to chemical engineering problems Self -Learning Topics Introduction to Central Difference

Module 5: Numerical Techniques for Models Producing PDEs

Introduction, Classification (Parabolic, Hyperbolic & Elliptic), Boundary and Initial Conditions, Bender Scmidt Method & Crank-Nicolsan Method Self-Learning Topics: Characteristics of Linear Partial Differential Equations

Module 6: Laplace Transform

Laplace Transform & Inverse Laplace Transforms of Standard Functions like 𝑒𝑎𝑡, sin(𝑎𝑡) , cos(𝑎𝑡) , sinh(at), cosh(at)and 𝑡𝑛, 𝑤ℎ𝑒𝑟𝑒 𝑛 ≥ 0 (without proof) First Shifting theorem, Laplace Transform of derivatives and integrals (Properties without proof) Inverse Laplace transform using First Shifting Theorem and Partial fractions method. Applications of Laplace Transforms for Solutions to ODE Self -Learning Topics: Error Function, Properties of Error Function, and PDE problems related to chemical engineering

References

1 Higher Engineering Mathematics, Dr. B. S. Grewal, Khanna Publication.
2 Rice R G. and. Do, D. D. "Applied Mathematics and Modeling for Chemical Engineers", John Wiley and Sons, New York, 1995.
3 Jenson. V.J. and Jeffereys, G. V, "Mathematical Methods in Chemical Engineering", 2nd Edition, Academic Press New York, 1977.
4 Probability, Statistics and Random Processes, T. Veerarajan, Mc. Graw Hill education.
5 Mickley. H.s., Sherwood, T. K. and Reed, c.E, "Applied Mathematics in Chemical Engineering" 2nd Edition, Tata McGraw-Hill, New Delhi Publications, 1975.

Reproduced from the University of Mumbai syllabus for B.E. (Chemical Engineering) under NEP 2020, in force from the academic year 2025-26. Wording is as printed in that syllabus. Module numbering is as printed there too.

The complete syllabus

This subject is cut from the University circular for its year. Open a document here if you want the whole thing rather than a single subject.

PDF Revised Syllabus for B.E. (Chemical Engineering), Semester I & II - the whole circular NEP 2020 syllabus, in force from 2024-25 Read full PDF Read

PDF Revised Syllabus for B.E. (Chemical Engineering), Semester III & IV - the whole circular NEP 2020 syllabus, in force from 2025-26 Read full PDF Read

PDF B.E. (Chemical Engineering), Semester V & VI - the whole circular NEP 2020 syllabus, in force from 2026-27 Read full PDF Read

PDF Revised Syllabus for B.E. Final Year Chemical Engineering, Semester VII & VIII - the whole circular REV-2019 'C' Scheme syllabus, in force from 2022-23 Read full PDF Read

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